In symplectic topology, a Fukaya category of a symplectic manifold ( X , ω ) {\displaystyle (X,\omega )} is a category F ( X ) {\displaystyle {\mathcal {F}}(X)} whose objects are Lagrangian submanifolds of X {\displaystyle X} , and morphisms are Lagrangian Floer chain groups: H o m ( L 0 , L 1 ) = C F ( L 0 , L 1 ) {\displaystyle \mathrm {Hom} (L_{0},L_{1})=CF(L_{0},L_{1})} . Its finer structure can be described as an A∞-category.
In symplectic topology, a Fukaya category of a symplectic manifold ( X , ω ) {\displaystyle (X,\omega )} is a category F ( X ) {\displaystyle {\mathcal {F}}(X)} whose objects are Lagrangian submanifolds of X {\displaystyle X} , and morphisms are Lagrangian Floer chain groups: H o m ( L 0 , L 1 ) = C F ( L 0 , L 1 ) {\displaystyle \mathrm {Hom} (L_{0},L_{1})=CF(L_{0},L_{1})} . Its finer structure can be described as an A∞-category.
Source: Wikipedia "Fukaya category" · CC BY-SA 4.0
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